Which of the following expressions is equivalent to $\newline$ $4.56 \times 0.031$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $456 \times 31 \div 100$ $\newline$ (B) $456 \times 31 \div 1,000$ $\newline$ (C) $456 \times 31 \div 10,000$ $\newline$ (D) $456 \times 31 \div 100,000$

Full solution

Q. Which of the following expressions is equivalent to

\newline

4.56 \times 0.031

\newline

Choose

1

answer:

\newline

(A)

456 \times 31 \div 100

\newline

(B)

456 \times 31 \div 1,000

\newline

(C)

456 \times 31 \div 10,000

\newline

(D)

456 \times 31 \div 100,000

Convert to Whole Numbers: Convert the decimal multiplication to an equivalent multiplication involving whole numbers by multiplying both numbers by appropriate powers of $10$ . $4.56 \times 0.031$ can be written as $(456/100) \times (31/1000)$ .
Multiply Numerators and Denominators: Multiply the numerators and denominators separately. $\newline$ $(456 \times 31) / (100 \times 1000) = 14136 / 100000$ .
Compare with Options: Compare the result with the given options to find the equivalent expression. $14136 / 100000$ is the same as $456 \times 31 \div 100000$ , which corresponds to option (D).